If each side of a cube of side cm is reduced to cm and then immersed in water, what will be the eecton the buoyant force experienced by the cube as compared to the first case for water? Give reason foreach case.

To determine the effect on the buoyant force experienced by the cube when each side is reduced from � cm to � cm and then immersed in water, we need to consider the relationship between the volume of the cube and the buoyant force.

1. In the first case, when the cube has sides of � cm, the volume of the cube is given by V = (� cm)^3 = � cm^3. When the cube is immersed in water, it displaces a volume of water equal to its own volume. Therefore, the buoyant force experienced by the cube is equal to the weight of the water displaced, which is equal to the weight of � cm^3 of water.

2. In the second case, when each side of the cube is reduced to � cm, the volume of the cube becomes V' = (� cm)^3 = � cm^3. When this smaller cube is immersed in water, it displaces a volume of water equal to its own volume, which is now � cm^3. Therefore, the buoyant force experienced by the cube is equal to the weight of the water displaced, which is equal to the weight of � cm^3 of water.

Comparing the two cases, we can see that the volume of water displaced in the second case is smaller than in the first case. This means that the buoyant force experienced by the cube in the second case will be smaller than in the first case. The reason for this is that the buoyant force is directly proportional to the volume of water displaced. Therefore, when the size of the cube is reduced, the volume of water displaced and hence the buoyant force also decreases.